Higher-derivative supergravity, wrapped M5-branes, and theories of class $$ \mathrm{\mathcal{R}} $$

Nikolay Bobev (Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, Leuven, B-3001, Belgium) ; Anthony Charles (Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, Leuven, B-3001, Belgium) ; Dongmin Gang (Asia Pacific Center for Theoretical Physics (APCTP), Pohang, 37673, Korea; Department of Physics, Pohang University of Science and Technology (POSTECH), Pohang, 37673, Korea; Department of Physics and Astronomy & Center for Theoretical Physics, Seoul National University, 1 Gwanak-ro, Seoul, 08826, Korea) ; Kiril Hristov (INRNE, Bulgarian Academy of Sciences, Tsarigradsko Chaussee 72, Sofia, 1784, Bulgaria; Faculty of Physics, Sofia University, J. Bourchier Blvd. 5, Sofia, 1164, Bulgaria) ; Valentin Reys (Institute for Theoretical Physics, KU Leuven, Celestijnenlaan 200D, Leuven, B-3001, Belgium)

We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class $$ \mathrm{\mathcal{R}} $$ . Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we are able to constrain the two independent coefficients in the four-derivative supergravity Lagrangian. This in turn allows us to calculate the subleading terms in the large-N expansion of supersymmetric partition functions for an infinite class of three-dimensional N $$ \mathcal{N} $$ = 2 SCFTs of class $$ \mathrm{\mathcal{R}} $$ . We also determine the leading correction to the Bekenstein-Hawking entropy of asymptotically AdS4 black holes arising from wrapped M5-branes. In addition, we propose and test some conjectures about the perturbative partition function of Chern-Simons theory with complexified ADE gauge groups on closed hyperbolic three-manifolds.

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      "surname": "Gang", 
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      "surname": "Hristov", 
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      "source": "Springer", 
      "value": "We study the interplay between four-derivative 4d gauged supergravity, holography, wrapped M5-branes, and theories of class   <math> <mi>\u211b</mi> </math>  $$ \\mathrm{\\mathcal{R}} $$ . Using results from Chern-Simons theory on hyperbolic three-manifolds and the 3d-3d correspondence we are able to constrain the two independent coefficients in the four-derivative supergravity Lagrangian. This in turn allows us to calculate the subleading terms in the large-N expansion of supersymmetric partition functions for an infinite class of three-dimensional   <math> <mi>N</mi> </math>  $$ \\mathcal{N} $$  = 2 SCFTs of class   <math> <mi>\u211b</mi> </math>  $$ \\mathrm{\\mathcal{R}} $$ . We also determine the leading correction to the Bekenstein-Hawking entropy of asymptotically AdS4 black holes arising from wrapped M5-branes. In addition, we propose and test some conjectures about the perturbative partition function of Chern-Simons theory with complexified ADE gauge groups on closed hyperbolic three-manifolds."
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Published on:
08 April 2021
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2021 (2021)
Issue 4
Pages 1-28
DOI:
https://doi.org/10.1007/JHEP04(2021)058
arXiv:
2011.05971
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: